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Extensions 1→N→G→Q→1 with N=C34 and Q=S3

Direct product G=N×Q with N=C34 and Q=S3
dρLabelID
S3×C34162S3xC3^4486,256

Semidirect products G=N:Q with N=C34 and Q=S3
extensionφ:Q→Aut NdρLabelID
C34⋊1S3 = C34⋊S3φ: S3/C1 → S3 ⊆ Aut C3427C3^4:1S3486,103
C34⋊2S3 = C3×C3≀S3φ: S3/C1 → S3 ⊆ Aut C3427C3^4:2S3486,115
C34⋊3S3 = C34⋊3S3φ: S3/C1 → S3 ⊆ Aut C34186C3^4:3S3486,145
C34⋊4S3 = C3×C33⋊S3φ: S3/C1 → S3 ⊆ Aut C34186C3^4:4S3486,165
C34⋊5S3 = C34⋊5S3φ: S3/C1 → S3 ⊆ Aut C34186C3^4:5S3486,166
C34⋊6S3 = C34⋊6S3φ: S3/C1 → S3 ⊆ Aut C3427C3^4:6S3486,183
C34⋊7S3 = C34⋊7S3φ: S3/C1 → S3 ⊆ Aut C3427C3^4:7S3486,185
C34⋊8S3 = C32×C32⋊C6φ: S3/C1 → S3 ⊆ Aut C3454C3^4:8S3486,222
C34⋊9S3 = C3×He3⋊4S3φ: S3/C1 → S3 ⊆ Aut C3454C3^4:9S3486,229
C34⋊10S3 = C32×He3⋊C2φ: S3/C1 → S3 ⊆ Aut C3481C3^4:10S3486,230
C34⋊11S3 = C34⋊10C6φ: S3/C1 → S3 ⊆ Aut C3481C3^4:11S3486,242
C34⋊12S3 = C3×He3⋊5S3φ: S3/C1 → S3 ⊆ Aut C3454C3^4:12S3486,243
C34⋊13S3 = C34⋊13S3φ: S3/C1 → S3 ⊆ Aut C3454C3^4:13S3486,248
C34⋊14S3 = C3⋊S3×C33φ: S3/C3 → C2 ⊆ Aut C3454C3^4:14S3486,257
C34⋊15S3 = C32×C33⋊C2φ: S3/C3 → C2 ⊆ Aut C3454C3^4:15S3486,258
C34⋊16S3 = C3×C34⋊C2φ: S3/C3 → C2 ⊆ Aut C34162C3^4:16S3486,259
C34⋊17S3 = C35⋊C2φ: S3/C3 → C2 ⊆ Aut C34243C3^4:17S3486,260

Non-split extensions G=N.Q with N=C34 and Q=S3
extensionφ:Q→Aut NdρLabelID
C34.1S3 = C33⋊1D9φ: S3/C1 → S3 ⊆ Aut C34186C3^4.1S3486,19
C34.2S3 = C33⋊2D9φ: S3/C1 → S3 ⊆ Aut C3427C3^4.2S3486,52
C34.3S3 = C3×C32⋊D9φ: S3/C1 → S3 ⊆ Aut C3454C3^4.3S3486,94
C34.4S3 = C34.S3φ: S3/C1 → S3 ⊆ Aut C3427C3^4.4S3486,105
C34.5S3 = C3×C32⋊2D9φ: S3/C1 → S3 ⊆ Aut C3454C3^4.5S3486,135
C34.6S3 = C33⋊D9φ: S3/C1 → S3 ⊆ Aut C3481C3^4.6S3486,137
C34.7S3 = C34.7S3φ: S3/C1 → S3 ⊆ Aut C34186C3^4.7S3486,147
C34.8S3 = C33⋊6D9φ: S3/C1 → S3 ⊆ Aut C3454C3^4.8S3486,181
C34.9S3 = C32×C9⋊C6φ: S3/C1 → S3 ⊆ Aut C3454C3^4.9S3486,224
C34.10S3 = C3×C33.S3φ: S3/C1 → S3 ⊆ Aut C3454C3^4.10S3486,232
C34.11S3 = C34.11S3φ: S3/C1 → S3 ⊆ Aut C3481C3^4.11S3486,244
C34.12S3 = D9×C33φ: S3/C3 → C2 ⊆ Aut C34162C3^4.12S3486,220
C34.13S3 = C32×C9⋊S3φ: S3/C3 → C2 ⊆ Aut C3454C3^4.13S3486,227
C34.14S3 = C3×C32⋊4D9φ: S3/C3 → C2 ⊆ Aut C34162C3^4.14S3486,240
C34.15S3 = C33⋊9D9φ: S3/C3 → C2 ⊆ Aut C34243C3^4.15S3486,247

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